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- W179502473 abstract "Streamline diffusion is a well-known damping strategy in the numerical approximation of transport-dominated transport-diffusion problems by the finite element method. It combines the effect of higher order upwinding with the flexibility of the variational approach. However, the reliable and accurate resolution of shock-like solution structures requires a refinement of the computational mesh in space and also in time. In this note we propose a strategy for such a mesh refinement within an implicit time stepping process which is based on a local predictor-corrector concept. This approach allows for significant savings with respect to storage and computing time. Some test results are reported for the 1-d Riemann shock tube problem. The mechanism underlying this mesh control strategy can be explained through a rigorous theoretical analysis." @default.
- W179502473 created "2016-06-24" @default.
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- W179502473 date "1994-01-01" @default.
- W179502473 modified "2023-09-27" @default.
- W179502473 title "Mesh Adaptation via a Predictor-Corrector Strategy in the Streamline Diffusion Method for Nonstationary Hyperbolic Systems" @default.
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- W179502473 doi "https://doi.org/10.1007/978-3-663-14246-1_16" @default.
- W179502473 hasPublicationYear "1994" @default.
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